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On Laplace–Carleson embeddings, and L^p-mapping properties of the Fourier transform

Eskil Rydhe Centre for Mathematical Sciences, Lund University, Lund, Sweden

TBD mathscidoc:2203.43016

Arkiv for Matematik, 58, (2), 437-457, 2020.11
We investigate so-called Laplace–Carleson embeddings for large exponents. In particular, we extend some results by Jacob, Partington, and Pott. We also discuss some related results for Sobolev– and Besov spaces, and mapping properties of the Fourier transform. These variants of the Hausdorff–Young theorem appear difficult to find in the literature. We conclude the paper with an example related to an open problem.
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@inproceedings{eskil2020on,
  title={On Laplace–Carleson embeddings, and L^p-mapping properties of the Fourier transform},
  author={Eskil Rydhe},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220311102059754805950},
  booktitle={Arkiv for Matematik},
  volume={58},
  number={2},
  pages={437-457},
  year={2020},
}
Eskil Rydhe. On Laplace–Carleson embeddings, and L^p-mapping properties of the Fourier transform. 2020. Vol. 58. In Arkiv for Matematik. pp.437-457. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220311102059754805950.
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